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Finding the Fourth Proportional to 839.01, 1,256.86 and 399.63

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Solution

The fourth proportional to 839.01, 1,256.86 and 399.63 is: 598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.01 : 1,256.86 = 399.63 : x
  2. Step 2: Convert to fraction form
    839.01/1,256.86 = 399.63/x
  3. Step 3: Cross multiply
    839.01x = 1,256.86 × 399.63
  4. Step 4: Simplify right side
    839.01x = 502,278.96
  5. Step 5: Solve for x
    x = 502,278.96/839.01
  6. Step 6: Final answer
    x = 598.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.